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Finding the Fourth Proportional to 15,734.50, 21,713.34 and 9,019.96

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Solution

The fourth proportional to 15,734.50, 21,713.34 and 9,019.96 is: 12,447.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,734.50 : 21,713.34 = 9,019.96 : x
  2. Step 2: Convert to fraction form
    15,734.50/21,713.34 = 9,019.96/x
  3. Step 3: Cross multiply
    15,734.50x = 21,713.34 × 9,019.96
  4. Step 4: Simplify right side
    15,734.50x = 195,853,458.27
  5. Step 5: Solve for x
    x = 195,853,458.27/15,734.50
  6. Step 6: Final answer
    x = 12,447.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.